Computer Aided Series Expansions for Critical Phenomena

Details Computer Aided Series Expansions for Critical Phenomena Computer Aided Series Expansions for Critical Phenomena

1996-12-20

arxiv.org/abs/hep-lat/9612022v1

Physics

High Energy Physics

High Energy Physics - Lattice

Talk presented at the International Conference on Multi-Scale Phenomena and their Simulation at ZiF (Bielefeld, Germany) Octob

Scientific paper

Under quite general conditions critical phenomena can be described with high order linked cluster expansions. The coefficients of the series admit a graphical expansion that is generated with the aid of computers. Our generalization of linked cluster expansions from an infinite to a finite volume allows to perform a finite size scaling analysis. We also indicate a generalization to Dynamical Linked Cluster Expansions with possible applications to spin glasses and neural networks with coupled spin and interaction dynamics.

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